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Simultaneous equations have the same solutions.
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∙ 10y ago
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How many solutions to a quardratic equation?
A quadratic equation always has TWO (2) solutions. They may be different, the same, or non-existant as real numbers (ie they only exist as complex numbers).
If the discriminant of a quadratic equation is -4 how many solutions does the equation have?
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
If the discriminant is zero the equation has solutions?
It has 2 equal solutions
If the discriminant of an equation is zero What is true of the equation?
That its roots (solutions) are coincident.
What do you do if you have a negative discriminant in a quadriatic equation?
By calculating the discriminant of the equation and if it's negative the equation will have no solutions
Is satisfying an equation the same as solving it?
No. If an equation has many solutions, any one of them will satisfy it.
Does a quadratic equation has exactly one solution?
Normally it has two solutions but sometimes the solutions can be the same.
Can a pair of linear equation have exactly two solutions?
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
If an equation is an identity how many solutions does it have?
An identity equation has infinite solutions.
How many solutions to a quardratic equation?
A quadratic equation always has TWO (2) solutions. They may be different, the same, or non-existant as real numbers (ie they only exist as complex numbers).
If an equation has a degree of three how many solutions will there be?
If the highest degree of an equation is 3, then the equation must have 3 solutions. Solutions can be: 1) 3 real solutions 2) one real and two imaginary solutions.
Which equation has the same solutions as 8x2 37x-150?
None because without an equality sign the given terms can't be considered to be an equation.
If the discriminant of a quadratic equation is -4 how many solutions does the equation have?
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
How many solutions do a equation have?
It will depend on the equation.
Which pairs are solutions to the equation?
That depends on the equation.
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
